Lotfi A. Zadeh quote: “Essentially, a fuzzy algorithm is an ordered sequence of instructions (like a computer program) in which some of the in…”

“Suppose we a certain Number of things exposed, different each from other, as a, b, c, d, e, &c.; The question is, how many ways the order of these may be varied? as, for instance, how many changes may be Rung upon a certain Number of Bells; or, how many ways (by way of Anagram) a certain Number of (different) Letters may be differently ordered?
Alt.1,21) If the thing exposed be but One, as a, it is certain, that the order can be but one. That is 1.
2) If Two be exposed, as a, b, it is also manifest, that they may be taken in a double order, as ab, ba, and no more. That is 1 x 2 = 2. Alt.3
3) If Three be exposed; as a, b, c: Then, beginning with a, the other two b, c, may (by art. 2,) be disposed according to Two different orders, as bc, cb; whence arise Two Changes (or varieties of order) beginning with a as abc, acb: And, in like manner it may be shewed, that there be as many beginning with b; because the other two, a, c, may be so varied, as bac, bca. And again as many beginning with c as cab, cba. And therefore, in all, Three times Two. That is 1 x 2, x 3 = 6.
Alt.34) If Four be exposed as a, b, c, d; Then, beginning with a, the other Three may (by art. preceeding) be disposed six several ways. And (by the same reason) as many beginning with b, and as many beginning with c, and as many beginning with d. And therefore, in all, Four times six, or 24. That is, the Number answering to the case next foregoing, so many times taken as is the Number of things here exposed. That is 1 x 2 x 3, x 4 = 6 x 4 = 24.
5) And in like manner it may be shewed, that this Number 24 Multiplied by 5, that is 120 = 24 x 5 = 1 x 2 x 3 x 4 x 5, is the number of alternations (or changes of order) of Five things exposed. (Or, the Number of Changes on Five Bells.) For each of these five being put in the first place, the other four will (by art. preceeding) admit of 24 varieties, that is, in all, five times 24. And in like manner, this Number 120 Multiplied by 6, shews the Number of Alternations of 6 things exposed; and so onward, by continual Multiplication by the conse quent Numbers 7, 8, 9, &c.;
6) That is, how many so ever of Numbers, in their natural Consecution, beginning from 1, being continually Multiplied, give us the Number of Alternations (or Change of order) of which so many things are capable as is the last of the Numbers so Multiplied. As for instance, the Number of Changes in Ringing Five Bells, is 1 x 2 x 3 x 4 x 5 = 120. In Six Bells, 1 x 2 x 3 x 4 x 5 x 6 = 120 x 6 = 720. In Seven Bells, 720 x 7 = 5040. In Eight Bells, 5040 x 8 = 40320, And so onward, as far as we please.”

John Wallis (1616–1703) English mathematician

Source: A Discourse of Combinations, Alterations, and Aliquot Parts (1685), Ch.II Of Alternations, or the different Change of Order, in any Number of Things proposed.

“Fame is like a giant X-Ray. Once you are exposed beneath it, the very beatings of your heart are shown to a gaping world.”

Natacha Rambova (1897–1966) American film personality and fashion designer

On celebrity, p. 117
Photoplay: "Wedded and Parted" (December 1922)

“SPAN ID=The_process_by>The process by means of which human beings can arbitrarily make certan things stand for other things may be called the symbolic process. Whenever two or more human beings can communicate with each other, they can, by agreement, make anything stand for anything. For example, here are two symbols:
X Y
We can agree to let X stand for buttons and Y for bows; then we can freely change our agreement and let X stand for […] North Korea, and Y for South Korea. We are, as human beings, uniquely free to manufacture and manipulate and assign values to our symbols as we please. Indeed, we can go further by making symbols that stand for symbols. […] This freedom to create symbols of any assigned value and to create symbols that stand for symbols is essential to what we call the symbolic process. </SPAN”

S. I. Hayakawa book Language in Thought and Action

Source: Language in Thought and Action (1949), The Symbolic Process, p. 24

“Anyone who slaps a ‘this page is best viewed with Browser X’ label on a Web page appears to be yearning for the bad old days, before the Web, when you had very little chance of reading a document written on another computer, another word processor, or another network.”

Tim Berners-Lee (1955) British computer scientist, inventor of the World Wide Web

Technology Review (July 1996)

“When you write a computer program you've got to not just list things out and sort of take an algorithm and translate it into a set of instructions. But when there's a bug — and all programs have bugs — you've got to debug it. You've got to go in, change it, and then re-execute … and you iterate. And that iteration is really a very, very good approximation of learning.”

Nicholas Negroponte (1943) American computer scientist

Nicholas Negroponte: A 30-year history of the future http://www.ted.com/talks/nicholas_negroponte_a_30_year_history_of_the_future, July 2014, TED Talks (about 13:40 into 19:43 video).
A 30-year history of the future, TED Talk (2014)

“The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very fake, etc…. As a consequence, the truth tables and the rules of inference in fuzzy logic are (i) inexact and (ii) dependent on the meaning associated with the primary truth-value true as well as the modifiers very quite.”

George Klir (1932–2016) American computer scientist

Lotfi Asker Zadeh, George Klir, Bo Yuan (1996) Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers. p. 238.

“The term fuzzy logic is used in this paper to describe an imprecise logical system, FL, in which the truth-values are fuzzy subsets of the unit interval with linguistic labels such as true, false, not true, very true, quite true, not very true and not very fake, etc…. As a consequence, the truth tables and the rules of inference in fuzzy logic are (i) inexact and (ii) dependent on the meaning associated with the primary truth-value true as well as the modifiers very quite.”

Lotfi A. Zadeh (1921–2017) Electrical engineer and computer scientist

Lotfi Asker Zadeh, George Jiri Klir, Bo Yuan (1996) Fuzzy Sets, Fuzzy Logic, and Fuzzy Systems: Selected Papers. p. 238
1990s

“So Mac OS X is cross-platform by design, right from the very beginning. So Mac OS X is singing on Intel processors, and I'd just like to show you right now. As a matter of fact… this system I've been using here… Let go have a look… [reveals that the system he had been using for the presentation was running Mac OS X 10.4.1 on a machine using a 3.6 GHz Pentium 4 processor] So.. we've been running on an Intel machine all morning.”

Steve Jobs (1955–2011) American entrepreneur and co-founder of Apple Inc.

2000s, WWDC 2005

“The male is a biological accident: the y(male) gene is an incomplete x(female) gene, that is, has an incomplete set of chromosomes. In other words, the male is an incomplete female, a walking abortion…. To be male is to be deficient, emotionally limited; maleness is a deficiency disease and males are emotional cripples.”

Valerie Solanas (1936–1988) American radical feminist and writer. Attempted to assassinate Andy Warhol.

Source: SCUM MANIFESTO (1967), p. [1] ("y(male)" & "x(female)" spaceless in original).

“You look just like that Mulder on X Factor.”

Gillian Anderson (1968) American-British film, television and theatre actress, activist and writer

When asked what the best thing a London cabbie said to her — Evening Standard "Gillian Anderson's My London" http://www.standard.co.uk/lifestyle/esmagazine/gillian-andersons-my-london-8824882.html (September 20, 2013)
2010s

Help us to complete the source, original and additional information

Lotfi A. Zadeh 18

Related quotes

Related topics